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Finding the Fourth Proportional to 139,824.25, 209,714.73 and 76,675.54

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Solution

The fourth proportional to 139,824.25, 209,714.73 and 76,675.54 is: 115,001.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,824.25 : 209,714.73 = 76,675.54 : x
  2. Step 2: Convert to fraction form
    139,824.25/209,714.73 = 76,675.54/x
  3. Step 3: Cross multiply
    139,824.25x = 209,714.73 × 76,675.54
  4. Step 4: Simplify right side
    139,824.25x = 16,079,989,699.40
  5. Step 5: Solve for x
    x = 16,079,989,699.40/139,824.25
  6. Step 6: Final answer
    x = 115,001.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.